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1355364050320 = 2457197109111261
BaseRepresentation
bin10011101110010001111…
…111100010010110010000
311210120102122120121120101
4103232101333202112100
5134201241144102240
62514351243222144
7166631120224660
oct23562177422620
94716378517511
101355364050320
11482896743685
1219a818817954
139aa6c25b227
14498584641a0
15253c968339a
hex13b91fe2590

1355364050320 has 160 divisors (see below), whose sum is σ = 3623316592896. Its totient is φ = 461872588800.

The previous prime is 1355364050311. The next prime is 1355364050329. The reversal of 1355364050320 is 230504635531.

It is an interprime number because it is at equal distance from previous prime (1355364050311) and next prime (1355364050329).

It is a self number, because there is not a number n which added to its sum of digits gives 1355364050320.

It is not an unprimeable number, because it can be changed into a prime (1355364050329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120353490 + ... + 120364750.

Almost surely, 21355364050320 is an apocalyptic number.

1355364050320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355364050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811658296448).

1355364050320 is an abundant number, since it is smaller than the sum of its proper divisors (2267952542576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1355364050320 is a wasteful number, since it uses less digits than its factorization.

1355364050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12569 (or 12563 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

Adding to 1355364050320 its reverse (230504635531), we get a palindrome (1585868685851).

The spelling of 1355364050320 in words is "one trillion, three hundred fifty-five billion, three hundred sixty-four million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 560 788 985 1091 1379 1576 1970 2182 2758 3152 3940 4364 5455 5516 6895 7637 7880 8728 10910 11032 11261 13790 15274 15760 17456 21820 22064 22522 27580 30548 38185 43640 45044 55160 56305 61096 76370 78827 87280 90088 110320 112610 122192 152740 157654 180176 214927 225220 305480 315308 394135 429854 450440 610960 630616 788270 859708 900880 1074635 1261232 1504489 1576540 1719416 2149270 2218417 3008978 3153080 3438832 4298540 4436834 6017956 6306160 7522445 8597080 8873668 11092085 12035912 12285751 15044890 15528919 17194160 17747336 22184170 24071824 24571502 30089780 31057838 35494672 44368340 49143004 60179560 61428755 62115676 77644595 86000257 88736680 98286008 120359120 122857510 124231352 155289190 172000514 177473360 196572016 245715020 248462704 310578380 344001028 430001285 491430040 621156760 688002056 860002570 982860080 1242313520 1376004112 1720005140 2420292947 3440010280 4840585894 6880020560 9681171788 12101464735 16942050629 19362343576 24202929470 33884101258 38724687152 48405858940 67768202516 84710253145 96811717880 135536405032 169420506290 193623435760 271072810064 338841012580 677682025160 1355364050320